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Finding the Fourth Proportional to 840.92, 1,160.48 and 509.29

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Solution

The fourth proportional to 840.92, 1,160.48 and 509.29 is: 702.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.92 : 1,160.48 = 509.29 : x
  2. Step 2: Convert to fraction form
    840.92/1,160.48 = 509.29/x
  3. Step 3: Cross multiply
    840.92x = 1,160.48 × 509.29
  4. Step 4: Simplify right side
    840.92x = 591,020.86
  5. Step 5: Solve for x
    x = 591,020.86/840.92
  6. Step 6: Final answer
    x = 702.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.